Geodesic
Blow up in finite time and dynamics of blow up solutions for the 𝐿²–critical generalized KdV equation
Martel, Yvan1 ; Merle, Frank2
1 Département de Mathématiques, Université de Cergy–Pontoise, 2, av. A. Chauvin, 95302 Cergy Pontoise, France
2 Département de Mathématiques, Université de Cergy–Pontoise, 2, av. A. Chauvin, 95302 Cergy Pontoise, France – and – Institut Universitaire de France
Journal of the American Mathematical Society, Tome 15 (2002) no. 3, pp. 617-664

Voir la notice de l'article provenant de la source American Mathematical Society

In this paper, we describe the dynamics of blow up solutions for the critical generalized KdV equation such that the initial data is close to the soliton in $L^2$ and has decay in $L^2$ at the right. In particular, we prove that blow up occurs in finite time, and we obtain an upper bound on the blow up rate.
DOI : 10.1090/S0894-0347-02-00392-2

Martel, Yvan 1 ; Merle, Frank 2

1 Département de Mathématiques, Université de Cergy–Pontoise, 2, av. A. Chauvin, 95302 Cergy Pontoise, France
2 Département de Mathématiques, Université de Cergy–Pontoise, 2, av. A. Chauvin, 95302 Cergy Pontoise, France – and – Institut Universitaire de France 
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Martel, Yvan; Merle, Frank. Blow up in finite time and dynamics of blow up solutions for the 𝐿²–critical generalized KdV equation. Journal of the American Mathematical Society, Tome 15 (2002) no. 3, pp. 617-664. doi: 10.1090/S0894-0347-02-00392-2

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